Singular homoclinic bifurcations in a planar fast-slow system

DOI10.1007/s10883-005-6589-9zbMath1092.34027OpenAlexW2045598138MaRDI QIDQ814975

Feng Xie, Weijiang Zhang, Mao'an Han

Publication date: 8 February 2006

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-005-6589-9

Mathematics Subject Classification ID

Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiple bifurcation problems for chemical reactors
• Geometric singular perturbation theory for ordinary differential equations
• Bifurcation properties of a planar system modelling neural activity
• Bifurcation of limit cycles and separatrix loops in singular Liénard systems
• Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
• Homoclinic bifurcations in slow-fast second order systems
• HOMOCLINIC BIFURCATIONS IN A PLANAR DYNAMICAL SYSTEM
• Elements of applied bifurcation theory